Home / 71,290-106,722

Finding the Third Proportional to 71,290 and 106,722

Calculator

Solution

The third proportional to 71,290 and 106,722 is: 159,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290 : 106,722 = 106,722 : x
  2. Step 2: Convert to fraction form
    71,290/106,722 = 106,722/x
  3. Step 3: Cross multiply
    71,290x = 106,722 × 106,722
  4. Step 4: Simplify right side
    71,290x = 11,389,585,284
  5. Step 5: Solve for x
    x = 11,389,585,284/71,290
  6. Step 6: Final answer
    x = 159,764.14

Related Problems

Find third proportional to 35,645 and 53,361
Half scale
Find third proportional to 142,580 and 213,444
Double scale
Find third proportional to 71,292 and 106,725
Similar ratio
Find third proportional to 106,935 and 160,083
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.